Over several decades, optical communication has been widely used for transmitting and receiving important data among distinct parties. The key feature of the optical communication is to discriminate a message encoded in a light with maximal success probability. Unfortunately, the statistical and physical feature of a light is limited, therefore maximal success probability with conventional measurements could not surpass the shot noise limit (equivalently, the standard quantum limit)[1]}. For this reason, large amount of research effort has been contributed to design an unconventional quantum measurement surpassing the shot noise limit in quantum communication[2]}.
